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Mamona-Downs, Joanna – International Journal of Mathematical Education in Science and Technology, 2010
An account is made of the relationship between the convergence behaviour of a sequence and the accumulation points of the underlying set of the sequence. The aim is to provide students with opportunities to contrast two types of mathematical entities through their commonalities and differences in structure. The more set-oriented perspective that…
Descriptors: Cognitive Processes, Comparative Analysis, Thinking Skills, Calculus
Griffiths, Alan K.; Cornish, Alan G. – 1978
This paper reviews methods which have been used to identify and validate learning hierarchies. Specifically, three methods which reflect the notion of a relatively inviolate sequence are discussed and compared. Two of the psychometric methods compare pairs of skills, the ordering-theoretic method (Bart and Krus) and the test of inclusion (White…
Descriptors: Comparative Analysis, Expectancy Tables, Foreign Countries, High Schools